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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 724854, 8 pages
http://dx.doi.org/10.1155/2013/724854
An Existence Result for Nonlocal Impulsive Second-Order Cauchy Problems with Finite Delay
School of Mathematics, Yunnan Normal University, Kunming 650092, China
Received 1 October 2012; Revised 7 December 2012; Accepted 9 December 2012
Academic Editor: Toka Diagana
Copyright © 2013 Fang Li and Huiwen Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We deal with the existence of mild solutions of a class of nonlocal impulsive second-order functional differential equations with finite delay in a real Banach space . An existence result on the mild solution is obtained by using the theory of the measures of noncompactness. An example is presented.